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There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

数据结构与算法 · 计算机科学 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang

We study the minimum-cost metric perfect matching problem under online i.i.d arrivals. We are given a fixed metric with a server at each of the points, and then requests arrive online, each drawn independently from a known probability…

数据结构与算法 · 计算机科学 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

We study the classical, randomized Ranking algorithm which is known to be $(1 - \frac{1}{e})$-competitive in expectation for the Online Bipartite Matching Problem. We give a tail inequality bound, namely that Ranking is $(1 - \frac{1}{e} -…

数据结构与算法 · 计算机科学 2021-12-15 Milena Mihail , Thorben Tröbst

In this paper, we study the problem of finding a maximum matching in the semi-streaming model when edges arrive in a random order. In the semi-streaming model, an algorithm receives a stream of edges and it is allowed to have a memory of…

数据结构与算法 · 计算机科学 2019-12-24 Alireza Farhadi , MohammadTaghi Hajiaghayi , Tung Mai , Anup Rao , Ryan A. Rossi

We study the problem of computing an approximate maximum cardinality matching in the semi-streaming model when edges arrive in a \emph{random} order. In the semi-streaming model, the edges of the input graph G = (V,E) are given as a stream…

数据结构与算法 · 计算机科学 2020-05-04 Aaron Bernstein

In the classical version of online bipartite matching, there is a given set of offline vertices (aka agents) and another set of vertices (aka items) that arrive online. When each item arrives, its incident edges -- the agents who like the…

计算机科学与博弈论 · 计算机科学 2022-03-09 Hadi Hosseini , Zhiyi Huang , Ayumi Igarashi , Nisarg Shah

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

计算机科学与博弈论 · 计算机科学 2016-08-03 Elliot Anshelevich , Shreyas Sekar

We study online capacitated resource allocation, a natural generalization of online stochastic max-weight bipartite matching. This problem is motivated by ride-sharing and Internet advertising applications, where online arrivals may have…

数据结构与算法 · 计算机科学 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

We study the oblivious matching problem, which aims at finding a maximum matching on a graph with unknown edge set. Any algorithm for the problem specifies an ordering of the vertex pairs. The matching is then produced by probing the pairs…

数据结构与算法 · 计算机科学 2020-02-17 Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang

We study the online clustering problem where data items arrive in an online fashion. The algorithm maintains a clustering of data items into similarity classes. Upon arrival of v, the relation between v and previously arrived items is…

数据结构与算法 · 计算机科学 2010-02-03 Claire Mathieu , Ocan Sankur , Warren Schudy

We study the online maximum matching problem in a model in which the edges are associated with a known recourse parameter $k$. An online algorithm for this problem has to maintain a valid matching while edges of the underlying graph are…

数据结构与算法 · 计算机科学 2021-01-06 Spyros Angelopoulos , Christoph Dürr , Shendan Jin

We consider a generalization of the vertex weighted online bipartite matching problem where the offline vertices, called resources, are reusable. In particular, when a resource is matched it is unavailable for a deterministic time duration…

数据结构与算法 · 计算机科学 2022-07-19 Rajan Udwani

We consider a model for repeated stochastic matching where compatibility is probabilistic, is realized the first time agents are matched, and persists in the future. Such a model has applications in the gig economy, kidney exchange, and…

计算机科学与博弈论 · 计算机科学 2021-06-15 Mobin Y. Jeloudar , Irene Lo , Tristan Pollner , Amin Saberi

We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

数据结构与算法 · 计算机科学 2007-06-06 Béla Csaba , András S. Pluhár

Unconstrained submodular maximization captures many NP-hard combinatorial optimization problems, including Max-Cut, Max-Di-Cut, and variants of facility location problems. Recently, Buchbinder et al. presented a surprisingly simple linear…

数据结构与算法 · 计算机科学 2014-04-25 Norman Huang , Allan Borodin

We study the online fair division problem, where indivisible goods arrive sequentially and must be allocated immediately and irrevocably. Prior work establishes strong impossibility results for approximating classic notions such as…

计算机科学与博弈论 · 计算机科学 2026-05-29 Davin Choo , Winston Fu , Derek Khu , Tzeh Yuan Neoh , Tze-Yang Poon , Nicholas Teh

In many real life situations, including job and loan applications, gatekeepers must make justified and fair real-time decisions about a person's fitness for a particular opportunity. In this paper, we aim to accomplish approximate group…

机器学习 · 计算机科学 2021-05-26 Yi Sun , Ivan Ramirez , Alfredo Cuesta-Infante , Kalyan Veeramachaneni

We study ordinal approximation algorithms for maximum-weight bipartite matchings. Such algorithms only know the ordinal preferences of the agents/nodes in the graph for their preferred matches, but must compete with fully omniscient…

计算机科学与博弈论 · 计算机科学 2017-07-07 Elliot Anshelevich , Wennan Zhu

Motivated by the use of high speed circuit switches in large scale data centers, we consider the problem of circuit switch scheduling. In this problem we are given demands between pairs of servers and the goal is to schedule at every time…

数据结构与算法 · 计算机科学 2019-05-09 Roy Schwartz , Mohit Singh , Sina Yazdanbod

Sampling without replacement is a natural online rounding strategy for converting fractional bipartite matching into an integral one. In Online Bipartite Matching, we can use the Balance algorithm to fractionally match each online vertex,…

数据结构与算法 · 计算机科学 2024-10-10 Zhiyi Huang , Chui Shan Lee , Jianqiao Lu , Xinkai Shu